editing disabled

5 Equal Divisions of the Tritave


Degrees
Cents
Approximate Ratios
0
0
1/1
1
380.391
5/4
2
760.782
14/9
3
1141.173
27/14
4
1521.564
12/5 (6/5 plus an octave)
5
1901.955
3/1

5edt isn't very useful melodically, though it has many notable harmonic properties shared by other 5n-edts (EDTs with 5 as a prime factor). It has a surprisingly accurate major third, five of them making a tritave. It therefore tempers out 3125/3072, the magic comma. Two of these major thirds give a septimal minor sixth, meaning that it also tempers out the 7-limit comma 225/224.

5edt is the lowest equal division of the tritave to encompass 5-limit harmony. The available chords are 4:5:12 and 5:12:15; essentially major and minor chords. This is similar to 6edt, which contains the same chords but with the major thirds transposed an octave higher, and vice versa.


Other 5n-edts:

10edt
15edt
20edt
25edt
30edt
...